Equation 1x−3=2−4xWhich of these have the same solution as Equation 1? Be prepared to explain your reasoning.Equation A2x−6=4−8xEquation Bx−5=-4xEquation C2(1−2x)=x−3Equation D-3=2−5x
All of the other equations have the same solutions as the first equation, x=1.Equation A: If you multiply each side of Equation 1 by 2, the result is Equation A. So if x makes Equation 1 true then it makes Equation A true as well.Equation B: If you subtract 2 from each side of Equation 1, the result is Equation B, so if Equation 1 is true then Equation B is true.Equation C: If you switch everything to the left of the equal sign and everything to the right of the equal sign on Equation C, then rewrite the expression 2(1−2x) as 2−4x using the distributive property, then the result is Equation 1, so if Equation 1 is true then Equation C is true.Equation D: If you subtract x from each side of Equation 1, the result is Equation D, so if Equation 1 is true then Equation D is true.